George, Terrence; Inchiostro, Giovanni The cluster modular group of the dimer model. (English) Zbl 07808135 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 11, No. 1, 147-198 (2024). MSC: 05C10 05B45 05C25 82B20 13F60 14H70 37K30 PDFBibTeX XMLCite \textit{T. George} and \textit{G. Inchiostro}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 11, No. 1, 147--198 (2024; Zbl 07808135) Full Text: DOI arXiv
Bray, Harrison; Canary, Richard; Kao, Lien-Yung; Martone, Giuseppe Pressure metrics for cusped Hitchin components. (English) Zbl 07797714 Adv. Math. 435, Part A, Article ID 109352, 24 p. (2023). MSC: 30Fxx 37Dxx 32Gxx PDFBibTeX XMLCite \textit{H. Bray} et al., Adv. Math. 435, Part A, Article ID 109352, 24 p. (2023; Zbl 07797714) Full Text: DOI arXiv
George, T.; Goncharov, A. B.; Kenyon, R. The inverse spectral map for dimers. (English) Zbl 07749838 Math. Phys. Anal. Geom. 26, No. 3, Paper No. 24, 51 p. (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J70 37K60 82B23 82B20 13F60 14H70 14E05 PDFBibTeX XMLCite \textit{T. George} et al., Math. Phys. Anal. Geom. 26, No. 3, Paper No. 24, 51 p. (2023; Zbl 07749838) Full Text: DOI arXiv
Dai, Xian; Martone, Giuseppe Correlation of the renormalized Hilbert length for convex projective surfaces. (English) Zbl 1527.37038 Ergodic Theory Dyn. Syst. 43, No. 9, 2938-2973 (2023). MSC: 37D40 37D35 57M50 57K20 53A20 32G15 PDFBibTeX XMLCite \textit{X. Dai} and \textit{G. Martone}, Ergodic Theory Dyn. Syst. 43, No. 9, 2938--2973 (2023; Zbl 1527.37038) Full Text: DOI arXiv
Edwards, Samuel; Lee, Minju; Oh, Hee Anosov groups: local mixing, counting and equidistribution. (English) Zbl 07688332 Geom. Topol. 27, No. 2, 513-573 (2023). Reviewer: Thomas B. Ward (Durham) MSC: 22E40 37A17 37A25 37A44 PDFBibTeX XMLCite \textit{S. Edwards} et al., Geom. Topol. 27, No. 2, 513--573 (2023; Zbl 07688332) Full Text: DOI arXiv
Hone, Andrew N. W.; Kouloukas, Theodoros E. Deformations of cluster mutations and invariant presymplectic forms. (English) Zbl 1518.37068 J. Algebr. Comb. 57, No. 3, 763-791 (2023). MSC: 37J70 37J37 37J11 39A36 53D05 16G20 PDFBibTeX XMLCite \textit{A. N. W. Hone} and \textit{T. E. Kouloukas}, J. Algebr. Comb. 57, No. 3, 763--791 (2023; Zbl 1518.37068) Full Text: DOI arXiv
Izosimov, Anton Polygon recutting as a cluster integrable system. (English) Zbl 1522.37076 Sel. Math., New Ser. 29, No. 2, Paper No. 21, 31 p. (2023). MSC: 37J70 39A36 51E12 13F60 53A70 PDFBibTeX XMLCite \textit{A. Izosimov}, Sel. Math., New Ser. 29, No. 2, Paper No. 21, 31 p. (2023; Zbl 1522.37076) Full Text: DOI arXiv
Bloch, Anthony M.; Karp, Steven N. Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties. (English) Zbl 1526.17011 Commun. Math. Phys. 398, No. 3, 1213-1289 (2023). MSC: 17B08 14M15 15B48 17B45 20G20 37B35 81T60 PDFBibTeX XMLCite \textit{A. M. Bloch} and \textit{S. N. Karp}, Commun. Math. Phys. 398, No. 3, 1213--1289 (2023; Zbl 1526.17011) Full Text: DOI arXiv
Alekseev, Anton; Hoffman, Benjamin; Lane, Jeremy; Li, Yanpeng Action-angle coordinates on coadjoint orbits and multiplicity free spaces from partial tropicalization. (English) Zbl 1510.37092 Adv. Math. 414, Article ID 108856, 84 p. (2023). MSC: 37J35 37J39 37J37 37J06 17B08 53D05 53D17 14T90 PDFBibTeX XMLCite \textit{A. Alekseev} et al., Adv. Math. 414, Article ID 108856, 84 p. (2023; Zbl 1510.37092) Full Text: DOI arXiv
Canary, Richard Hitchin representations of Fuchsian groups. (English) Zbl 07800513 EMS Surv. Math. Sci. 9, No. 2, 355-388 (2022). MSC: 37D40 22E40 37B10 57M50 PDFBibTeX XMLCite \textit{R. Canary}, EMS Surv. Math. Sci. 9, No. 2, 355--388 (2022; Zbl 07800513) Full Text: DOI arXiv
Labourie, François Entropy and affine actions for surface groups. (English) Zbl 1521.37028 J. Topol. 15, No. 3, 1017-1033 (2022). MSC: 37C85 37D40 57S30 14R20 30F60 PDFBibTeX XMLCite \textit{F. Labourie}, J. Topol. 15, No. 3, 1017--1033 (2022; Zbl 1521.37028) Full Text: DOI arXiv OA License
Abenda, Simonetta; Grinevich, Petr G. Real regular KP divisors on \({\texttt{M}}\)-curves and totally non-negative Grassmannians. (English) Zbl 1510.37103 Lett. Math. Phys. 112, No. 6, Paper No. 115, 64 p. (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 37K20 37K25 37K40 14H50 14H70 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{P. G. Grinevich}, Lett. Math. Phys. 112, No. 6, Paper No. 115, 64 p. (2022; Zbl 1510.37103) Full Text: DOI arXiv
Yan, Fei Exact WKB and the quantum Seiberg-Witten curve for 4d \(N = 2\) pure SU(3) Yang-Mills. Abelianization. (English) Zbl 1522.81666 J. High Energy Phys. 2022, No. 3, Paper No. 164, 31 p. (2022). MSC: 81T60 81T13 81Q20 81T40 81T45 37K10 PDFBibTeX XMLCite \textit{F. Yan}, J. High Energy Phys. 2022, No. 3, Paper No. 164, 31 p. (2022; Zbl 1522.81666) Full Text: DOI arXiv
Bray, Harrison; Canary, Richard; Kao, Lien-Yung; Martone, Giuseppe Counting, equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations. (English) Zbl 1506.37039 J. Reine Angew. Math. 791, 1-51 (2022). MSC: 37D35 37B10 37A35 37C30 20H10 80A05 PDFBibTeX XMLCite \textit{H. Bray} et al., J. Reine Angew. Math. 791, 1--51 (2022; Zbl 1506.37039) Full Text: DOI arXiv
Izosimov, Anton Dimers, networks, and cluster integrable systems. (English) Zbl 1493.37074 Geom. Funct. Anal. 32, No. 4, 861-880 (2022). MSC: 37J35 53D17 82B20 37K30 13F60 PDFBibTeX XMLCite \textit{A. Izosimov}, Geom. Funct. Anal. 32, No. 4, 861--880 (2022; Zbl 1493.37074) Full Text: DOI arXiv
Abenda, Simonetta; Grinevich, Petr G. Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians. (English) Zbl 1492.14087 Adv. Math. 406, Article ID 108523, 57 p. (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 14M15 20G20 22E46 37K10 53D17 05C10 05C22 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{P. G. Grinevich}, Adv. Math. 406, Article ID 108523, 57 p. (2022; Zbl 1492.14087) Full Text: DOI arXiv
Izosimov, Anton Pentagram maps and refactorization in Poisson-Lie groups. (English) Zbl 07537721 Adv. Math. 404, Part B, Article ID 108476, 46 p. (2022). MSC: 37J70 37J35 39A36 53D17 PDFBibTeX XMLCite \textit{A. Izosimov}, Adv. Math. 404, Part B, Article ID 108476, 46 p. (2022; Zbl 07537721) Full Text: DOI arXiv
Canary, Richard; Zhang, Tengren; Zimmer, Andrew Cusped Hitchin representations and Anosov representations of geometrically finite Fuchsian groups. (English) Zbl 1514.22003 Adv. Math. 404, Part B, Article ID 108439, 67 p. (2022). Reviewer: Dimitrios Varsos (Athína) MSC: 22E40 20H10 30F35 37F32 57M60 PDFBibTeX XMLCite \textit{R. Canary} et al., Adv. Math. 404, Part B, Article ID 108439, 67 p. (2022; Zbl 1514.22003) Full Text: DOI arXiv
Bertola, M.; Tarricone, S. Stokes manifolds and cluster algebras. (English) Zbl 1484.13050 Commun. Math. Phys. 390, No. 3, 1413-1457 (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 13F60 34M40 37K10 37K20 37K25 37K30 53D18 PDFBibTeX XMLCite \textit{M. Bertola} and \textit{S. Tarricone}, Commun. Math. Phys. 390, No. 3, 1413--1457 (2022; Zbl 1484.13050) Full Text: DOI arXiv
Reshetikhin, Nicolai; Schrader, Gus Superintegrability of generalized Toda models on symmetric spaces. (English) Zbl 1497.37067 Int. Math. Res. Not. 2021, No. 17, 12993-13010 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J39 37J37 53D17 PDFBibTeX XMLCite \textit{N. Reshetikhin} and \textit{G. Schrader}, Int. Math. Res. Not. 2021, No. 17, 12993--13010 (2021; Zbl 1497.37067) Full Text: DOI arXiv
Abenda, Simonetta Kasteleyn theorem, geometric signatures and KP-II divisors on planar bipartite networks in the disk. (English) Zbl 1479.05186 Math. Phys. Anal. Geom. 24, No. 4, Paper No. 35, 64 p. (2021). MSC: 05C50 05C10 14M15 14H70 37K40 PDFBibTeX XMLCite \textit{S. Abenda}, Math. Phys. Anal. Geom. 24, No. 4, Paper No. 35, 64 p. (2021; Zbl 1479.05186) Full Text: DOI arXiv
Bertola, M.; Korotkin, D. Tau-functions and monodromy symplectomorphisms. (English) Zbl 07424950 Commun. Math. Phys. 388, No. 1, 245-290 (2021). MSC: 37K06 37K10 37K25 37K30 37J11 53D20 53D22 PDFBibTeX XMLCite \textit{M. Bertola} and \textit{D. Korotkin}, Commun. Math. Phys. 388, No. 1, 245--290 (2021; Zbl 07424950) Full Text: DOI arXiv
Ishibashi, Tsukasa; Kano, Shunsuke Algebraic entropy of sign-stable mutation loops. (English) Zbl 1482.13024 Geom. Dedicata 214, 79-118 (2021). MSC: 13F60 37E30 37D25 PDFBibTeX XMLCite \textit{T. Ishibashi} and \textit{S. Kano}, Geom. Dedicata 214, 79--118 (2021; Zbl 1482.13024) Full Text: DOI arXiv
Arthamonov, S.; Reshetikhin, N. Superintegrable systems on moduli spaces of flat connections. (English) Zbl 1483.37072 Commun. Math. Phys. 386, No. 3, 1337-1381 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J39 37J38 14H70 53D17 PDFBibTeX XMLCite \textit{S. Arthamonov} and \textit{N. Reshetikhin}, Commun. Math. Phys. 386, No. 3, 1337--1381 (2021; Zbl 1483.37072) Full Text: DOI arXiv
Pozzetti, Maria Beatrice; Sambarino, Andrés; Wienhard, Anna Conformality for a robust class of non-conformal attractors. (English) Zbl 1483.37037 J. Reine Angew. Math. 774, 1-51 (2021). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37C45 37C70 PDFBibTeX XMLCite \textit{M. B. Pozzetti} et al., J. Reine Angew. Math. 774, 1--51 (2021; Zbl 1483.37037) Full Text: DOI arXiv
Affolter, Niklas C. Miquel dynamics, Clifford lattices and the dimer model. (English) Zbl 1467.82043 Lett. Math. Phys. 111, No. 3, Paper No. 61, 23 p. (2021). MSC: 82C20 37F20 PDFBibTeX XMLCite \textit{N. C. Affolter}, Lett. Math. Phys. 111, No. 3, Paper No. 61, 23 p. (2021; Zbl 1467.82043) Full Text: DOI arXiv Link
Hone, Andrew N. W.; Kouloukas, Theodoros E. Discrete Hirota reductions associated with the lattice KdV equation. (English) Zbl 1519.37099 J. Phys. A, Math. Theor. 53, No. 36, Article ID 364002, 38 p. (2020). MSC: 37K60 37K06 39A36 PDFBibTeX XMLCite \textit{A. N. W. Hone} and \textit{T. E. Kouloukas}, J. Phys. A, Math. Theor. 53, No. 36, Article ID 364002, 38 p. (2020; Zbl 1519.37099) Full Text: DOI arXiv
Ohshika, Ken’ichi; Papadopoulos, Athanase A glimpse into Thurston’s work. (English) Zbl 1479.57040 Ohshika, Ken’ichi (ed.) et al., In the tradition of Thurston. Geometry and topology. Cham: Springer. 1-58 (2020). MSC: 57K30 57M50 57-02 57-03 01A60 01A70 20F34 20F65 22E40 30F20 32G15 30F60 30F45 37D40 57K10 57R30 53A40 58D05 00A30 20F10 68Q70 57M05 57M07 57Q15 58A10 PDFBibTeX XMLCite \textit{K. Ohshika} and \textit{A. Papadopoulos}, in: In the tradition of Thurston. Geometry and topology. Cham: Springer. 1--58 (2020; Zbl 1479.57040) Full Text: DOI arXiv
Ovenhouse, Nicholas Non-commutative integrability of the Grassmann pentagram map. (English) Zbl 1508.37083 Adv. Math. 373, Article ID 107309, 56 p. (2020). MSC: 37J70 39A36 13F60 53D17 17B63 17B80 PDFBibTeX XMLCite \textit{N. Ovenhouse}, Adv. Math. 373, Article ID 107309, 56 p. (2020; Zbl 1508.37083) Full Text: DOI arXiv
Galashin, Pavel; Pylyavskyy, Pavlo Quivers with subadditive labelings: classification and integrability. (English) Zbl 1451.13067 Math. Z. 295, No. 3-4, 945-992 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 13F60 37K10 05E99 PDFBibTeX XMLCite \textit{P. Galashin} and \textit{P. Pylyavskyy}, Math. Z. 295, No. 3--4, 945--992 (2020; Zbl 1451.13067) Full Text: DOI arXiv
Sun, Zhe; Wienhard, Anna; Zhang, Tengren Flows on the \(\mathrm{PGL}(V)\)-Hitchin component. (English) Zbl 1528.32020 Geom. Funct. Anal. 30, No. 2, 588-692 (2020). MSC: 32G15 30F60 20H10 57M50 37E35 53C15 PDFBibTeX XMLCite \textit{Z. Sun} et al., Geom. Funct. Anal. 30, No. 2, 588--692 (2020; Zbl 1528.32020) Full Text: DOI arXiv
Galashin, Pavel; Pylyavskyy, Pavlo Quivers with additive labelings: classification and algebraic entropy. (English) Zbl 1442.13067 Doc. Math. 24, 2057-2135 (2019). MSC: 13F60 37K10 05E40 PDFBibTeX XMLCite \textit{P. Galashin} and \textit{P. Pylyavskyy}, Doc. Math. 24, 2057--2135 (2019; Zbl 1442.13067) Full Text: DOI arXiv
Bershtein, M. A.; Gavrylenko, P. G.; Marshakov, A. V. Cluster Toda chains and Nekrasov functions. (English. Russian original) Zbl 1421.81083 Theor. Math. Phys. 198, No. 2, 157-188 (2019); translation from Teor. Mat. Fiz. 198, No. 2, 179-214 (2019). MSC: 81T13 81T60 37K10 81T30 81T45 14H52 39A13 14K25 PDFBibTeX XMLCite \textit{M. A. Bershtein} et al., Theor. Math. Phys. 198, No. 2, 157--188 (2019; Zbl 1421.81083); translation from Teor. Mat. Fiz. 198, No. 2, 179--214 (2019) Full Text: DOI arXiv
Abenda, Simonetta; Grinevich, Petr G. Reducible \(M\)-curves for Le-networks in the totally-nonnegative Grassmannian and KP-II multiline solitons. (English) Zbl 1426.37052 Sel. Math., New Ser. 25, No. 3, Paper No. 43, 64 p. (2019). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 37K20 37K40 14H50 14H70 35C08 35Q51 14M15 51M35 55S45 37K10 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{P. G. Grinevich}, Sel. Math., New Ser. 25, No. 3, Paper No. 43, 64 p. (2019; Zbl 1426.37052) Full Text: DOI arXiv
Sorrentino, A.; Veselov, A. P. Markov numbers, Mather’s \(\beta\) function and stable norm. (English) Zbl 1431.37051 Nonlinearity 32, No. 6, 2147-2156 (2019). MSC: 37J51 53D25 11J06 32G15 37D40 PDFBibTeX XMLCite \textit{A. Sorrentino} and \textit{A. P. Veselov}, Nonlinearity 32, No. 6, 2147--2156 (2019; Zbl 1431.37051) Full Text: DOI arXiv
Abenda, Simonetta; Grinevich, Petr G. Real soliton lattices of the Kadomtsev-Petviashvili II equation and desingularization of spectral curves: the \(\mathrm{Gr}^{\mathrm{TP}}(2, 4)\) case. (English. Russian original) Zbl 1437.37086 Proc. Steklov Inst. Math. 302, 1-15 (2018); translation from Tr. Mat. Inst. Steklova 302, 7-22 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K20 37K40 37K10 37K25 14H70 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{P. G. Grinevich}, Proc. Steklov Inst. Math. 302, 1--15 (2018; Zbl 1437.37086); translation from Tr. Mat. Inst. Steklova 302, 7--22 (2018) Full Text: DOI arXiv
Grushevsky, Samuel (ed.); Möller, Martin (ed.); Zorich, Anton (ed.) Flat surfaces and algebraic curves. Abstracts from the workshop held September 16–22, 2018. (English) Zbl 1425.00102 Oberwolfach Rep. 15, No. 3, 2583-2650 (2018). MSC: 00B05 00B25 32G15 14H10 37D50 32-06 14-06 37-06 PDFBibTeX XMLCite \textit{S. Grushevsky} (ed.) et al., Oberwolfach Rep. 15, No. 3, 2583--2650 (2018; Zbl 1425.00102) Full Text: DOI
Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge Open problems, questions and challenges in finite- dimensional integrable systems. (English) Zbl 1407.53089 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2131, Article ID 20170430, 40 p. (2018). MSC: 53D17 37J05 53D12 PDFBibTeX XMLCite \textit{A. Bolsinov} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2131, Article ID 20170430, 40 p. (2018; Zbl 1407.53089) Full Text: DOI arXiv
Guichard, Olivier; Wienhard, Anna Positivity and higher Teichmüller theory. (English) Zbl 1404.22034 Mehrmann, Volker (ed.) et al., European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18–22, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-176-7/hbk; 978-3-03719-676-2/ebook). 289-310 (2018). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 22E46 32G15 30F60 37-06 PDFBibTeX XMLCite \textit{O. Guichard} and \textit{A. Wienhard}, in: European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18--22, 2016. Zürich: European Mathematical Society (EMS). 289--310 (2018; Zbl 1404.22034) Full Text: DOI arXiv
Abenda, Simonetta; Grinevich, Petr G. Rational degenerations of \({\mathtt M}\)-curves, totally positive Grassmannians and KP2-solitons. (English) Zbl 1400.14094 Commun. Math. Phys. 361, No. 3, 1029-1081 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H81 14H70 37K10 37K40 37K20 14H50 14M15 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{P. G. Grinevich}, Commun. Math. Phys. 361, No. 3, 1029--1081 (2018; Zbl 1400.14094) Full Text: DOI arXiv
Bridgeman, Martin; Canary, Richard; Sambarino, Andrés An introduction to pressure metrics for higher Teichmüller spaces. (English) Zbl 1397.37032 Ergodic Theory Dyn. Syst. 38, No. 6, 2001-2035 (2018). MSC: 37D35 30F60 32G15 PDFBibTeX XMLCite \textit{M. Bridgeman} et al., Ergodic Theory Dyn. Syst. 38, No. 6, 2001--2035 (2018; Zbl 1397.37032) Full Text: DOI arXiv
Glutsyuk, Alexey; Ramassamy, Sanjay A first integrability result for Miquel dynamics. (English) Zbl 1390.37098 J. Geom. Phys. 130, 121-129 (2018). MSC: 37J35 14H70 PDFBibTeX XMLCite \textit{A. Glutsyuk} and \textit{S. Ramassamy}, J. Geom. Phys. 130, 121--129 (2018; Zbl 1390.37098) Full Text: DOI arXiv
Berenstein, Arkady; Retakh, Vladimir Noncommutative marked surfaces. (English) Zbl 1395.14001 Adv. Math. 328, 1010-1087 (2018). Reviewer: Ralf Schiffler (Storrs) MSC: 14A22 13F60 58B34 37K10 PDFBibTeX XMLCite \textit{A. Berenstein} and \textit{V. Retakh}, Adv. Math. 328, 1010--1087 (2018; Zbl 1395.14001) Full Text: DOI arXiv
Yamazaki, Masahito Quantum trilogy: discrete Toda, Y-system and chaos. (English) Zbl 1387.81227 J. Phys. A, Math. Theor. 51, No. 5, Article ID 053002, 25 p. (2018). MSC: 81Q50 13F60 37K10 81-02 PDFBibTeX XMLCite \textit{M. Yamazaki}, J. Phys. A, Math. Theor. 51, No. 5, Article ID 053002, 25 p. (2018; Zbl 1387.81227) Full Text: DOI arXiv
Córdova, Clay; Jafferis, Daniel L. Toda theory from six dimensions. (English) Zbl 1383.81286 J. High Energy Phys. 2017, No. 12, Paper No. 106, 33 p. (2017). MSC: 81T60 37K10 58J28 PDFBibTeX XMLCite \textit{C. Córdova} and \textit{D. L. Jafferis}, J. High Energy Phys. 2017, No. 12, Paper No. 106, 33 p. (2017; Zbl 1383.81286) Full Text: DOI arXiv
Sciarappa, Antonio Exact relativistic Toda chain eigenfunctions from separation of variables and gauge theory. (English) Zbl 1383.81317 J. High Energy Phys. 2017, No. 10, Paper No. 116, 87 p. (2017). MSC: 81T60 83E30 81T45 37K10 PDFBibTeX XMLCite \textit{A. Sciarappa}, J. High Energy Phys. 2017, No. 10, Paper No. 116, 87 p. (2017; Zbl 1383.81317) Full Text: DOI arXiv
Hone, Andrew N. W.; Kouloukas, Theodoros E.; Ward, Chloe On reductions of the Hirota-Miwa equation. (English) Zbl 1425.70032 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 057, 17 p. (2017). MSC: 70H06 37K10 39A20 39A14 13F60 PDFBibTeX XMLCite \textit{A. N. W. Hone} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 057, 17 p. (2017; Zbl 1425.70032) Full Text: DOI arXiv
Fock, Vladimir V.; Marshakov, Andrey Loop groups, clusters, dimers and integrable systems. (English) Zbl 1417.37248 Álvarez-Consul, Luis (ed.) et al., Geometry and quantization of moduli spaces. Based on 4 courses, Barcelona, Spain, March – June 2012. Basel: Birkhäuser/Springer. Adv. Courses in Math., CRM Barcelona, 1-65 (2016). MSC: 37K30 37J35 13F60 14H70 17B80 37K10 53D17 82B23 PDFBibTeX XMLCite \textit{V. V. Fock} and \textit{A. Marshakov}, in: Geometry and quantization of moduli spaces. Based on 4 courses, Barcelona, Spain, March -- June 2012. Basel: Birkhäuser/Springer. 1--65 (2016; Zbl 1417.37248) Full Text: DOI arXiv
Inoue, Rei; Lam, Thomas; Pylyavskyy, Pavlo Toric networks, geometric \(R\)-matrices and generalized discrete Toda lattices. (English) Zbl 1352.37163 Commun. Math. Phys. 347, No. 3, 799-855 (2016). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37J35 37K60 81R12 14H70 14H40 PDFBibTeX XMLCite \textit{R. Inoue} et al., Commun. Math. Phys. 347, No. 3, 799--855 (2016; Zbl 1352.37163) Full Text: DOI arXiv
Williams, Harold Toda systems, cluster characters, and spectral networks. (English) Zbl 1360.37150 Commun. Math. Phys. 348, No. 1, 145-184 (2016). Reviewer: Ryan Kinser (Iowa City) MSC: 37J35 16G20 13F60 PDFBibTeX XMLCite \textit{H. Williams}, Commun. Math. Phys. 348, No. 1, 145--184 (2016; Zbl 1360.37150) Full Text: DOI arXiv
Hamad, Khaled; van der Kamp, Peter H. From discrete integrable equations to Laurent recurrences. (English) Zbl 1353.39013 J. Difference Equ. Appl. 22, No. 6, 789-816 (2016). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 39A20 39A12 37J35 PDFBibTeX XMLCite \textit{K. Hamad} and \textit{P. H. van der Kamp}, J. Difference Equ. Appl. 22, No. 6, 789--816 (2016; Zbl 1353.39013) Full Text: DOI
Gekhtman, Michael; Shapiro, Michael; Tabachnikov, Serge; Vainshtein, Alek Integrable cluster dynamics of directed networks and pentagram maps. (English) Zbl 1360.37148 Adv. Math. 300, 390-450 (2016). MSC: 37J35 13F60 PDFBibTeX XMLCite \textit{M. Gekhtman} et al., Adv. Math. 300, 390--450 (2016; Zbl 1360.37148) Full Text: DOI arXiv Link
Glick, Max; Pylyavskyy, Pavlo \(Y\)-meshes and generalized pentagram maps. (English) Zbl 1362.37109 Proc. Lond. Math. Soc. (3) 112, No. 4, 753-797 (2016). MSC: 37J35 13F60 51N15 PDFBibTeX XMLCite \textit{M. Glick} and \textit{P. Pylyavskyy}, Proc. Lond. Math. Soc. (3) 112, No. 4, 753--797 (2016; Zbl 1362.37109) Full Text: DOI arXiv
Marsh, B. R.; Scott, J. S. Twists of Plücker coordinates as dimer partition functions. (English) Zbl 1341.13009 Commun. Math. Phys. 341, No. 3, 821-884 (2016). Reviewer: Jan E. Grabowski (Lancaster) MSC: 13F60 37K30 82B20 PDFBibTeX XMLCite \textit{B. R. Marsh} and \textit{J. S. Scott}, Commun. Math. Phys. 341, No. 3, 821--884 (2016; Zbl 1341.13009) Full Text: DOI arXiv Link
Williams, H. Cluster characters and the combinatorics of Toda systems. (English. Russian original) Zbl 1338.37096 Theor. Math. Phys. 185, No. 3, 1789-1802 (2015); translation from Teor. Mat. Fiz. 185, No. 3, 495-511 (2015). MSC: 37K10 13F60 PDFBibTeX XMLCite \textit{H. Williams}, Theor. Math. Phys. 185, No. 3, 1789--1802 (2015; Zbl 1338.37096); translation from Teor. Mat. Fiz. 185, No. 3, 495--511 (2015) Full Text: DOI
Kedem, Rinat; Vichitkunakorn, Panupong \(T\)-systems and the pentagram map. (English) Zbl 1306.37062 J. Geom. Phys. 87, 233-247 (2015). MSC: 37J35 37K20 13F60 51M20 14N05 PDFBibTeX XMLCite \textit{R. Kedem} and \textit{P. Vichitkunakorn}, J. Geom. Phys. 87, 233--247 (2015; Zbl 1306.37062) Full Text: DOI arXiv
Glick, Max The devron property. (English) Zbl 1331.37078 J. Geom. Phys. 87, 161-189 (2015). MSC: 37J35 05A15 51A05 37J45 37B20 PDFBibTeX XMLCite \textit{M. Glick}, J. Geom. Phys. 87, 161--189 (2015; Zbl 1331.37078) Full Text: DOI arXiv
Fordy, Allan P.; Hone, Andrew Discrete integrable systems and Poisson algebras from cluster maps. (English) Zbl 1344.37076 Commun. Math. Phys. 325, No. 2, 527-584 (2014). MSC: 37K10 17B63 13F60 PDFBibTeX XMLCite \textit{A. P. Fordy} and \textit{A. Hone}, Commun. Math. Phys. 325, No. 2, 527--584 (2014; Zbl 1344.37076) Full Text: DOI arXiv Link
Minh, Hoang Ngoc Structure of polyzetas and Lyndon words. (English) Zbl 1296.05204 Vietnam J. Math. 41, No. 4, 409-450 (2013). MSC: 05E15 11M32 37F25 68W30 PDFBibTeX XMLCite \textit{H. N. Minh}, Vietnam J. Math. 41, No. 4, 409--450 (2013; Zbl 1296.05204) Full Text: DOI
Schwartz, Richard Evan Pentagram spirals. (English) Zbl 1291.37040 Exp. Math. 22, No. 4, 384-405 (2013). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 37C99 51A05 PDFBibTeX XMLCite \textit{R. E. Schwartz}, Exp. Math. 22, No. 4, 384--405 (2013; Zbl 1291.37040) Full Text: DOI arXiv
Dreyer, Guillaume Length functions of Hitchin representations. (English) Zbl 1285.57010 Algebr. Geom. Topol. 13, No. 6, 3153-3173 (2013). Reviewer: Frederic Palesi (Marseille) MSC: 57M50 57M05 37F30 22E40 PDFBibTeX XMLCite \textit{G. Dreyer}, Algebr. Geom. Topol. 13, No. 6, 3153--3173 (2013; Zbl 1285.57010) Full Text: DOI arXiv
Williams, Harold Double Bruhat cells in Kac-Moody groups and integrable systems. (English) Zbl 1293.17037 Lett. Math. Phys. 103, No. 4, 389-419 (2013). MSC: 17B80 20G44 37K30 PDFBibTeX XMLCite \textit{H. Williams}, Lett. Math. Phys. 103, No. 4, 389--419 (2013; Zbl 1293.17037) Full Text: DOI arXiv
Eager, Richard; Franco, Sebastián; Schaeffer, Kevin Dimer models and integrable systems. (English) Zbl 1397.37072 J. High Energy Phys. 2012, No. 6, Paper No. 106, 25 p. (2012). MSC: 37K10 37K30 37K60 37N20 82B20 PDFBibTeX XMLCite \textit{R. Eager} et al., J. High Energy Phys. 2012, No. 6, Paper No. 106, 25 p. (2012; Zbl 1397.37072) Full Text: DOI arXiv
Hatsuda, Yasuyuki; Ito, Katsushi; Sakai, Kazuhiro; Satoh, Yuji Thermodynamic Bethe ansatz equations for minimal surfaces in \(AdS_3\). (English) Zbl 1272.81155 J. High Energy Phys. 2010, No. 4, Paper No. 108, 24 p. (2010). MSC: 81T30 81T20 81T60 81T13 81V05 81U05 81Q40 35Q55 37K10 PDFBibTeX XMLCite \textit{Y. Hatsuda} et al., J. High Energy Phys. 2010, No. 4, Paper No. 108, 24 p. (2010; Zbl 1272.81155) Full Text: DOI arXiv
Ovsienko, Valentin; Schwartz, Richard; Tabachnikov, Serge The pentagram map: a discrete integrable system. (English) Zbl 1209.37063 Commun. Math. Phys. 299, No. 2, 409-446 (2010). Reviewer: Dan E. Popovici (Timişoara) MSC: 37J35 37K10 37K60 51A05 52A10 PDFBibTeX XMLCite \textit{V. Ovsienko} et al., Commun. Math. Phys. 299, No. 2, 409--446 (2010; Zbl 1209.37063) Full Text: DOI arXiv Backlinks: MO
Kontsevich, Maxim Notes on motives in finite characteristic. (English) Zbl 1279.11065 Tschinkel, Yuri (ed.) et al., Algebra, arithmetic, and geometry. In honor of Y. I. Manin on the occasion of his 70th birthday. Vol. II. Boston, MA: Birkhäuser (ISBN 978-0-8176-4746-9/hbk; 978-0-8176-4747-6/ebook). Progress in Mathematics 270, 213-247 (2009). MSC: 11G25 11R39 14F30 18D05 37K20 82B20 PDFBibTeX XMLCite \textit{M. Kontsevich}, Prog. Math. 270, 213--247 (2009; Zbl 1279.11065) Full Text: DOI arXiv
Guichard, Olivier; Wienhard, Anna Domains of discontinuity for surface groups. (English) Zbl 1184.37023 C. R., Math., Acad. Sci. Paris 347, No. 17-18, 1057-1060 (2009). Reviewer: Meera Mainkar (Hanover) MSC: 37D20 22E40 PDFBibTeX XMLCite \textit{O. Guichard} and \textit{A. Wienhard}, C. R., Math., Acad. Sci. Paris 347, No. 17--18, 1057--1060 (2009; Zbl 1184.37023) Full Text: DOI
McMullen, Curtis T. Ribbon \(\mathbb{R}\)-trees and holomorphic dynamics on the unit disk. (English) Zbl 1173.37043 J. Topol. 2, No. 1, 23-76 (2009). Reviewer: Yuefei Wang (Beijing) MSC: 37F10 20E08 30D50 PDFBibTeX XMLCite \textit{C. T. McMullen}, J. Topol. 2, No. 1, 23--76 (2009; Zbl 1173.37043) Full Text: DOI
Grozman, P. Ya.; Leites, D. A. Nonholonomic Riemann and Weyl tensors for flag manifolds. (English. Russian original) Zbl 1141.17019 Theor. Math. Phys. 153, No. 2, 1511-1538 (2007); translation from Teor. Mat. Fiz. 153, No. 2, 186-219 (2007). Reviewer: Christopher P. Bendel (Menomonie) MSC: 17B56 14M15 37J60 53C10 58A50 70F25 70G45 PDFBibTeX XMLCite \textit{P. Ya. Grozman} and \textit{D. A. Leites}, Theor. Math. Phys. 153, No. 2, 1511--1538 (2007; Zbl 1141.17019); translation from Teor. Mat. Fiz. 153, No. 2, 186--219 (2007) Full Text: DOI arXiv
Labourie, François Anosov flows, surface groups and curves in projective space. (English) Zbl 1103.32007 Invent. Math. 165, No. 1, 51-114 (2006). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 32G15 30F60 20F65 37D20 37F30 PDFBibTeX XMLCite \textit{F. Labourie}, Invent. Math. 165, No. 1, 51--114 (2006; Zbl 1103.32007) Full Text: DOI arXiv
Leites, D. On computer-aided solving differential equations and stability study of markets. (English) Zbl 1114.37037 J. Math. Sci., New York 133, No. 4, 1464-1476 (2006) and Zap. Nauchn. Semin. POMI 312, 165-187, 314 (2004). MSC: 37J60 37N35 91B26 34C14 34A45 34C20 PDFBibTeX XMLCite \textit{D. Leites}, J. Math. Sci., New York 133, No. 4, 1464--1476 (2006; Zbl 1114.37037) Full Text: DOI EuDML
Grozman, Pavel; Leites, Dimitry Structures of \(G(2)\) type and nonintegrable distributions in characteristic \(p\). (English) Zbl 1146.17014 Lett. Math. Phys. 74, No. 3, 229-262 (2005). MSC: 17B50 37J60 58A30 PDFBibTeX XMLCite \textit{P. Grozman} and \textit{D. Leites}, Lett. Math. Phys. 74, No. 3, 229--262 (2005; Zbl 1146.17014) Full Text: DOI arXiv
Eskin, Alex; Masur, Howard; Schmoll, Martin Billiards in rectangles with barriers. (English) Zbl 1038.37031 Duke Math. J. 118, No. 3, 427-463 (2003). Reviewer: Mike Hurley (Cleveland) MSC: 37D50 37A17 PDFBibTeX XMLCite \textit{A. Eskin} et al., Duke Math. J. 118, No. 3, 427--463 (2003; Zbl 1038.37031) Full Text: DOI arXiv Euclid